D. Addona

collaborators

2 papers

math.FA2021

On the equivalence of Sobolev norms in Malliavin spaces

Davide Addona, Matteo Muratori, Maurizia Rossi

We investigate the problem of the equivalence of $L^{q}$ -Sobolev norms in Malliavin spaces for $q \in [1, \infty)$ , focusing on the graph norm of the $k$ -th Malliavin derivative operat…

math.AP2021

Bi-Kolmogorov type operators and weighted Rellich's inequalities

Davide Addona, Federica Gregorio, Abdelaziz Rhandi +1

In this paper we consider the symmetric Kolmogorov operator $L = Δ + \frac{\nabla μ}{μ} \cdot \nabla$ on $L^{2} (R^{N}, d μ)$ , where $μ$ is the density of a probability measure on $\math…